The Portuguese has come under pressure of late after Tottenham's slump in form, which culminated in a disastrous 6-0 Premier League loss to Manchester City last weekend.
|10/3||Tottenham are 10/3 with bet365 to beat Man Utd by one goal|
Spurs have slipped to ninth in the table after back-to-back league defeats against Newcastle United and City either side of the international break, and Villas-Boas has highlighted the importance of getting back to winning ways.
"Obviously the opponent we have on Sunday is the biggest that we can have," he told reporters.
"But to prepare for that game, it was important to get back to winning ways here, and we did it in a fashion where we looked solid and created lots of chances.
"I am extremely happy with the performance and result."